3020664400 has 120 divisors (see below), whose sum is σ = 7869190784. Its totient is φ = 1107648000.

The previous prime is 3020664377. The next prime is 3020664407. The reversal of 3020664400 is 44660203.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020664407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783277 + ... + 787123.

Almost surely, 2^3020664400 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 3020664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934595392).

3020664400 is an abundant number, since it is smaller than the sum of its proper divisors (4848526384).

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

3020664400 is a wasteful number, since it uses less digits than its factorization.

3020664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3020664400 is about 54960.5713216302. The cubic root of 3020664400 is about 1445.5534651034.

The spelling of 3020664400 in words is "three billion, twenty million, six hundred sixty-four thousand, four hundred".