3556945920 has 416 divisors, whose sum is σ = 13116084480. Its totient is φ = 813957120.

The previous prime is 3556945919. The next prime is 3556945937. The reversal of 3556945920 is 295496553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3556945920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12840822 + ... + 12841098.

Almost surely, 2^3556945920 is an apocalyptic number.

3556945920 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 3556945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558042240).

3556945920 is an abundant number, since it is smaller than the sum of its proper divisors (9559138560).

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

3556945920 is a wasteful number, since it uses less digits than its factorization.

3556945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 48.

The square root of 3556945920 is about 59640.1368207686. The cubic root of 3556945920 is about 1526.4845770592.

The spelling of 3556945920 in words is "three billion, five hundred fifty-six million, nine hundred forty-five thousand, nine hundred twenty".