3948134400 has 900 divisors, whose sum is σ = 17698898448. Its totient is φ = 849346560.

The previous prime is 3948134389. The next prime is 3948134413. The reversal of 3948134400 is 44318493.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232243192 + ... + 232243208.

Almost surely, 2^3948134400 is an apocalyptic number.

3948134400 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 3948134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849449224).

3948134400 is an abundant number, since it is smaller than the sum of its proper divisors (13750764048).

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

3948134400 is an equidigital number, since it uses as much as digits as its factorization.

3948134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3948134400 is about 62834.1817803017. The cubic root of 3948134400 is about 1580.5102235102.

The spelling of 3948134400 in words is "three billion, nine hundred forty-eight million, one hundred thirty-four thousand, four hundred".