3553411680 has 960 divisors, whose sum is σ = 16228574208. Its totient is φ = 711659520.

The previous prime is 3553411679. The next prime is 3553411699. The reversal of 3553411680 is 861143553.

3553411680 is a `hidden beast` number, since 3 + 5 + 534 + 116 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27125215 + ... + 27125345.

Almost surely, 2^3553411680 is an apocalyptic number.

3553411680 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 3553411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114287104).

3553411680 is an abundant number, since it is smaller than the sum of its proper divisors (12675162528).

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

3553411680 is a wasteful number, since it uses less digits than its factorization.

3553411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3553411680 is about 59610.4997462695. The cubic root of 3553411680 is about 1525.9788294505.

The spelling of 3553411680 in words is "three billion, five hundred fifty-three million, four hundred eleven thousand, six hundred eighty".