3874313520 has 360 divisors, whose sum is σ = 16347266208. Its totient is φ = 804925440.

The previous prime is 3874313489. The next prime is 3874313533. The reversal of 3874313520 is 253134783.

3874313520 is a `hidden beast` number, since 3 + 87 + 43 + 13 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 606664 + ... + 613016.

Almost surely, 2^3874313520 is an apocalyptic number.

3874313520 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 3874313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173633104).

3874313520 is an abundant number, since it is smaller than the sum of its proper divisors (12472952688).

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

3874313520 is a wasteful number, since it uses less digits than its factorization.

3874313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6381 counting only the distinct ones).

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

The square root of 3874313520 is about 62243.9838056659. The cubic root of 3874313520 is about 1570.5975682452.

The spelling of 3874313520 in words is "three billion, eight hundred seventy-four million, three hundred thirteen thousand, five hundred twenty".