3411980880 has 160 divisors (see below), whose sum is σ = 13187155968. Its totient is φ = 708979200.

The previous prime is 3411980843. The next prime is 3411980881. The reversal of 3411980880 is 880891143.

3411980880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3411980880² = 23283227050971148800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411980881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73836 + ... + 110795.

Almost surely, 2^3411980880 is an apocalyptic number.

3411980880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3411980880 is an abundant number, since it is smaller than the sum of its proper divisors (9775175088).

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

3411980880 is a wasteful number, since it uses less digits than its factorization.

3411980880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184665 (or 184659 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 3411980880 is about 58412.1638017288. The cubic root of 3411980880 is about 1505.4587594214.

The spelling of 3411980880 in words is "three billion, four hundred eleven million, nine hundred eighty thousand, eight hundred eighty".