3283880414000 has 40 divisors (see below), whose sum is σ = 7940422845888. Its totient is φ = 1313552164800.

The previous prime is 3283880413987. The next prime is 3283880414027. The reversal of 3283880414000 is 4140883823.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3283880414000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 820968104 + ... + 820972103.

Almost surely, 2^{3283880414000} is an apocalyptic number.

It is an amenable number.

3283880414000 is an abundant number, since it is smaller than the sum of its proper divisors (4656542431888).

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

3283880414000 is a wasteful number, since it uses less digits than its factorization.

3283880414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641940230 (or 1641940214 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 3283880414000 in words is "three trillion, two hundred eighty-three billion, eight hundred eighty million, four hundred fourteen thousand".