3553981920 has 576 divisors, whose sum is σ = 14067406080. Its totient is φ = 842047488.

The previous prime is 3553981877. The next prime is 3553981957. The reversal of 3553981920 is 291893553.

3553981920 is a `hidden beast` number, since 3 + 553 + 9 + 8 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12558099 + ... + 12558381.

It is an arithmetic number, because the mean of its divisors is an integer number (24422580).

Almost surely, 2^3553981920 is an apocalyptic number.

3553981920 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 3553981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033703040).

3553981920 is an abundant number, since it is smaller than the sum of its proper divisors (10513424160).

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

3553981920 is a wasteful number, since it uses less digits than its factorization.

3553981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 3553981920 is about 59615.2826043792. The cubic root of 3553981920 is about 1526.0604531315.

The spelling of 3553981920 in words is "three billion, five hundred fifty-three million, nine hundred eighty-one thousand, nine hundred twenty".