3215761920 has 480 divisors, whose sum is σ = 12910030848. Its totient is φ = 724598784.

The previous prime is 3215761919. The next prime is 3215761921. The reversal of 3215761920 is 291675123.

3215761920 is a `hidden beast` number, since 3 + 2 + 15 + 7 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3215761919) and next prime (3215761921).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3215761920² = 20682249452244172800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3215761921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20482482 + ... + 20482638.

Almost surely, 2^3215761920 is an apocalyptic number.

3215761920 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 3215761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455015424).

3215761920 is an abundant number, since it is smaller than the sum of its proper divisors (9694268928).

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

3215761920 is a wasteful number, since it uses less digits than its factorization.

3215761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 3215761920 is about 56707.6883676279. The cubic root of 3215761920 is about 1476.0281132416.

The spelling of 3215761920 in words is "three billion, two hundred fifteen million, seven hundred sixty-one thousand, nine hundred twenty".