3314672400 has 120 divisors (see below), whose sum is σ = 11434823680. Its totient is φ = 815915520.

The previous prime is 3314672399. The next prime is 3314672401. The reversal of 3314672400 is 42764133.

It is an interprime number because it is at equal distance from previous prime (3314672399) and next prime (3314672401).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (3314672401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90640 + ... + 121839.

Almost surely, 2^3314672400 is an apocalyptic number.

3314672400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3314672400 is an abundant number, since it is smaller than the sum of its proper divisors (8120151280).

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

3314672400 is a wasteful number, since it uses less digits than its factorization.

3314672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212513 (or 212502 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3314672400 is about 57573.1916780718. The cubic root of 3314672400 is about 1491.0087909009.

The spelling of 3314672400 in words is "three billion, three hundred fourteen million, six hundred seventy-two thousand, four hundred".