3402101431008 has 96 divisors (see below), whose sum is σ = 11340338123520. Its totient is φ = 972028978560.

The previous prime is 3402101430989. The next prime is 3402101431009. The reversal of 3402101431008 is 8001341012043.

3402101431008 is a `hidden beast` number, since 3 + 402 + 10 + 143 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402101431009) 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, 281252338 + ... + 281264433.

It is an arithmetic number, because the mean of its divisors is an integer number (118128522120).

Almost surely, 2^{3402101431008} is an apocalyptic number.

It is an amenable number.

3402101431008 is an abundant number, since it is smaller than the sum of its proper divisors (7938236692512).

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

3402101431008 is a wasteful number, since it uses less digits than its factorization.

3402101431008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562516797 (or 562516783 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 3402101431008 in words is "three trillion, four hundred two billion, one hundred one million, four hundred thirty-one thousand, eight".