3402724400157 has 8 divisors (see below), whose sum is σ = 4775753544160. Its totient is φ = 2149089094800.

The previous prime is 3402724400149. The next prime is 3402724400177. The reversal of 3402724400157 is 7510044272043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3402724400157 - 2³ = 3402724400149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402724400177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29848459594 + ... + 29848459707.

It is an arithmetic number, because the mean of its divisors is an integer number (596969193020).

Almost surely, 2^{3402724400157} is an apocalyptic number.

It is an amenable number.

3402724400157 is a deficient number, since it is larger than the sum of its proper divisors (1373029144003).

3402724400157 is a wasteful number, since it uses less digits than its factorization.

3402724400157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59696919323.

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 3402724400157 in words is "three trillion, four hundred two billion, seven hundred twenty-four million, four hundred thousand, one hundred fifty-seven".