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3807044640 = 2532572316421
BaseRepresentation
bin1110001011101010…
…1110010000100000
3100211022121220110100
43202322232100200
530244100412030
61425434102400
7163225226340
oct34272562040
910738556410
103807044640
111683a82a93
128a2b7aa00
13488962a49
14281886d20
1517435d360
hexe2eae420

3807044640 has 288 divisors, whose sum is σ = 15493959936. Its totient is φ = 832296960.

The previous prime is 3807044609. The next prime is 3807044653. The reversal of 3807044640 is 464407083.

3807044640 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 0 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3807044595 and 3807044604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223630 + ... + 240050.

It is an arithmetic number, because the mean of its divisors is an integer number (53798472).

Almost surely, 23807044640 is an apocalyptic number.

3807044640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7746979968).

3807044640 is an abundant number, since it is smaller than the sum of its proper divisors (11686915296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3807044640 is a wasteful number, since it uses less digits than its factorization.

3807044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16472 (or 16461 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3807044640 is about 61701.2531477279. The cubic root of 3807044640 is about 1561.4544620550.

The spelling of 3807044640 in words is "three billion, eight hundred seven million, forty-four thousand, six hundred forty".