3025868400 has 300 divisors, whose sum is σ = 11044834504. Its totient is φ = 793152000.

The previous prime is 3025868383. The next prime is 3025868407. The reversal of 3025868400 is 48685203.

3025868400 is a `hidden beast` number, since 30 + 2 + 586 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3025868407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1975635 + ... + 1977165.

Almost surely, 2^3025868400 is an apocalyptic number.

3025868400 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 3025868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522417252).

3025868400 is an abundant number, since it is smaller than the sum of its proper divisors (8018966104).

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

3025868400 is a wasteful number, since it uses less digits than its factorization.

3025868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3025868400 is about 55007.8939789554. The cubic root of 3025868400 is about 1446.3831219111.

The spelling of 3025868400 in words is "three billion, twenty-five million, eight hundred sixty-eight thousand, four hundred".