3302742627120 has 80 divisors (see below), whose sum is σ = 10238702895360. Its totient is φ = 880714098432.

The previous prime is 3302742627083. The next prime is 3302742627131. The reversal of 3302742627120 is 217262472033.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16286187 + ... + 16487733.

It is an arithmetic number, because the mean of its divisors is an integer number (127983786192).

Almost surely, 2^{3302742627120} is an apocalyptic number.

3302742627120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3302742627120 is an abundant number, since it is smaller than the sum of its proper divisors (6935960268240).

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

3302742627120 is a wasteful number, since it uses less digits than its factorization.

3302742627120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269842 (or 269836 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 3302742627120 in words is "three trillion, three hundred two billion, seven hundred forty-two million, six hundred twenty-seven thousand, one hundred twenty".