3411902183040 has 1024 divisors, whose sum is σ = 13344694272000. Its totient is φ = 818713018368.

The previous prime is 3411902183003. The next prime is 3411902183051. The reversal of 3411902183040 is 403812091143.

3411902183040 is a `hidden beast` number, since 341 + 1 + 9 + 0 + 2 + 1 + 8 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3411902182986 and 3411902183004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1683226507 + ... + 1683228533.

It is an arithmetic number, because the mean of its divisors is an integer number (13031928000).

Almost surely, 2^{3411902183040} is an apocalyptic number.

3411902183040 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 3411902183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672347136000).

3411902183040 is an abundant number, since it is smaller than the sum of its proper divisors (9932792088960).

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

3411902183040 is a wasteful number, since it uses less digits than its factorization.

3411902183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3411902183040 in words is "three trillion, four hundred eleven billion, nine hundred two million, one hundred eighty-three thousand, forty".