3898725600 has 864 divisors, whose sum is σ = 17037409536. Its totient is φ = 752025600.

The previous prime is 3898725599. The next prime is 3898725619. The reversal of 3898725600 is 65278983.

It is a super-2 number, since 2×3898725600² = 30400122608190720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3898725600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53407164 + ... + 53407236.

It is an arithmetic number, because the mean of its divisors is an integer number (19719224).

Almost surely, 2^3898725600 is an apocalyptic number.

3898725600 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 3898725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518704768).

3898725600 is an abundant number, since it is smaller than the sum of its proper divisors (13138683936).

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

3898725600 is a wasteful number, since it uses less digits than its factorization.

3898725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 3898725600 is about 62439.7757843508. The cubic root of 3898725600 is about 1573.8894463947.

The spelling of 3898725600 in words is "three billion, eight hundred ninety-eight million, seven hundred twenty-five thousand, six hundred".