3142674400 has 72 divisors (see below), whose sum is σ = 8123386320. Its totient is φ = 1183119360.

The previous prime is 3142674397. The next prime is 3142674421. The reversal of 3142674400 is 44762413.

It is a super-3 number, since 3×3142674400³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101940 + ... + 129139.

It is an arithmetic number, because the mean of its divisors is an integer number (112824810).

Almost surely, 2^3142674400 is an apocalyptic number.

It is an amenable number.

3142674400 is an abundant number, since it is smaller than the sum of its proper divisors (4980711920).

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

3142674400 is a wasteful number, since it uses less digits than its factorization.

3142674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231116 (or 231103 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 3142674400 is about 56059.5611827278. The cubic root of 3142674400 is about 1464.7599695275.

The spelling of 3142674400 in words is "three billion, one hundred forty-two million, six hundred seventy-four thousand, four hundred".