3873542400 has 648 divisors, whose sum is σ = 17067727040. Its totient is φ = 816168960.

The previous prime is 3873542389. The next prime is 3873542479. The reversal of 3873542400 is 42453783.

It is a happy number.

3873542400 is a `hidden beast` number, since 3 + 8 + 73 + 542 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241231 + ... + 5241969.

Almost surely, 2^3873542400 is an apocalyptic number.

3873542400 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 3873542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533863520).

3873542400 is an abundant number, since it is smaller than the sum of its proper divisors (13194184640).

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

3873542400 is a wasteful number, since it uses less digits than its factorization.

3873542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3873542400 is about 62237.7891638191. The cubic root of 3873542400 is about 1570.4933605750.

The spelling of 3873542400 in words is "three billion, eight hundred seventy-three million, five hundred forty-two thousand, four hundred".