3201400972 has 48 divisors (see below), whose sum is σ = 7352513280. Its totient is φ = 1181649600.

The previous prime is 3201400957. The next prime is 3201401023. The reversal of 3201400972 is 2790041023.

It is a super-3 number, since 3×3201400972³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3201400972.

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, 267679 + ... + 279382.

It is an arithmetic number, because the mean of its divisors is an integer number (153177360).

Almost surely, 2^3201400972 is an apocalyptic number.

It is an amenable number.

3201400972 is an abundant number, since it is smaller than the sum of its proper divisors (4151112308).

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

3201400972 is a wasteful number, since it uses less digits than its factorization.

3201400972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547102 (or 547100 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 3201400972 is about 56580.9240999120. The cubic root of 3201400972 is about 1473.8276191211.

Adding to 3201400972 its reverse (2790041023), we get a palindrome (5991441995).

The spelling of 3201400972 in words is "three billion, two hundred one million, four hundred thousand, nine hundred seventy-two".