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3730520640 = 2635711109463
BaseRepresentation
bin1101111001011011…
…0011101001000000
3100121222122002021010
43132112303221000
530120003130030
61414102000520
7161305621320
oct33626635100
910558562233
103730520640
111644866410
12881416140
13475b4b882
14275647280
1516c7946b0
hexde5b3a40

3730520640 has 448 divisors, whose sum is σ = 14934712320. Its totient is φ = 766402560.

The previous prime is 3730520623. The next prime is 3730520657. The reversal of 3730520640 is 460250373.

3730520640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3730520623) and next prime (3730520657).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3730520598 and 3730520607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8057049 + ... + 8057511.

Almost surely, 23730520640 is an apocalyptic number.

3730520640 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 3730520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467356160).

3730520640 is an abundant number, since it is smaller than the sum of its proper divisors (11204191680).

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

3730520640 is a wasteful number, since it uses less digits than its factorization.

3730520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3730520640 is about 61077.9881790486. The cubic root of 3730520640 is about 1550.9214971401.

The spelling of 3730520640 in words is "three billion, seven hundred thirty million, five hundred twenty thousand, six hundred forty".