3402205421520 has 80 divisors (see below), whose sum is σ = 10552010878080. Its totient is φ = 906809697792.

The previous prime is 3402205421501. The next prime is 3402205421521. The reversal of 3402205421520 is 251245022043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3402205421520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402205421521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2986819 + ... + 3965538.

It is an arithmetic number, because the mean of its divisors is an integer number (131900135976).

Almost surely, 2^{3402205421520} is an apocalyptic number.

3402205421520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402205421520 is an abundant number, since it is smaller than the sum of its proper divisors (7149805456560).

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

3402205421520 is a wasteful number, since it uses less digits than its factorization.

3402205421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954412 (or 6954406 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 3402205421520 in words is "three trillion, four hundred two billion, two hundred five million, four hundred twenty-one thousand, five hundred twenty".