3097958400 has 504 divisors, whose sum is σ = 11655074340. Its totient is φ = 816168960.

The previous prime is 3097958363. The next prime is 3097958419. The reversal of 3097958400 is 48597903.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37324759 + ... + 37324841.

Almost surely, 2^3097958400 is an apocalyptic number.

3097958400 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 3097958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827537170).

3097958400 is an abundant number, since it is smaller than the sum of its proper divisors (8557115940).

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

3097958400 is an frugal number, since it uses more digits than its factorization.

3097958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3097958400 is about 55659.3064994525. The cubic root of 3097958400 is about 1457.7795734439.

The spelling of 3097958400 in words is "three billion, ninety-seven million, nine hundred fifty-eight thousand, four hundred".