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3820536720 = 24345711131931
BaseRepresentation
bin1110001110111000…
…1100001110010000
3100212021000101010000
43203232030032100
530311024133340
61431035210000
7163451012010
oct34356141620
910767011100
103820536720
111690658870
128a75a6900
1348b6a7c20
14283599c40
15175625d30
hexe3b8c390

3820536720 has 1600 divisors, whose sum is σ = 19358760960. Its totient is φ = 671846400.

The previous prime is 3820536697. The next prime is 3820536737. The reversal of 3820536720 is 276350283.

3820536720 is a `hidden beast` number, since 38 + 20 + 536 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 123243105 + ... + 123243135.

Almost surely, 23820536720 is an apocalyptic number.

3820536720 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 3820536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679380480).

3820536720 is an abundant number, since it is smaller than the sum of its proper divisors (15538224240).

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

3820536720 is a wasteful number, since it uses less digits than its factorization.

3820536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3820536720 is about 61810.4903717807. The cubic root of 3820536720 is about 1563.2968736967.

The spelling of 3820536720 in words is "three billion, eight hundred twenty million, five hundred thirty-six thousand, seven hundred twenty".