3131606400 has 384 divisors, whose sum is σ = 11601757440. Its totient is φ = 736665600.

The previous prime is 3131606393. The next prime is 3131606411. The reversal of 3131606400 is 46061313.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2869855 + ... + 2870945.

It is an arithmetic number, because the mean of its divisors is an integer number (30212910).

Almost surely, 2^3131606400 is an apocalyptic number.

3131606400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800878720).

3131606400 is an abundant number, since it is smaller than the sum of its proper divisors (8470151040).

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

3131606400 is a wasteful number, since it uses less digits than its factorization.

3131606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3131606400 is about 55960.7576789307. The cubic root of 3131606400 is about 1463.0383962655.

Adding to 3131606400 its reverse (46061313), we get a palindrome (3177667713).

The spelling of 3131606400 in words is "three billion, one hundred thirty-one million, six hundred six thousand, four hundred".