3102042400 has 72 divisors (see below), whose sum is σ = 7580585124. Its totient is φ = 1239552000.

The previous prime is 3102042389. The next prime is 3102042481. The reversal of 3102042400 is 42402013.

It can be written as a sum of positive squares in 6 ways, for example, as 99440784 + 3002601616 = 9972^2 + 54796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1439724 + ... + 1441876.

Almost surely, 2^3102042400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790292562).

3102042400 is an abundant number, since it is smaller than the sum of its proper divisors (4478542724).

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

3102042400 is a wasteful number, since it uses less digits than its factorization.

3102042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3102042400 is about 55695.9819017494. The cubic root of 3102042400 is about 1458.4198830447.

Adding to 3102042400 its reverse (42402013), we get a palindrome (3144444413).

The spelling of 3102042400 in words is "three billion, one hundred two million, forty-two thousand, four hundred".