1538740800 has 420 divisors, whose sum is σ = 5853720576. Its totient is φ = 396057600.

The previous prime is 1538740781. The next prime is 1538740883. The reversal of 1538740800 is 80478351.

1538740800 is a `hidden beast` number, since 1 + 538 + 7 + 40 + 80 + 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 59 ways as a sum of consecutive naturals, for example, 4017409 + ... + 4017791.

Almost surely, 2^1538740800 is an apocalyptic number.

1538740800 is a gapful number since it is divisible by the number (10) 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 1538740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926860288).

1538740800 is an abundant number, since it is smaller than the sum of its proper divisors (4314979776).

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

1538740800 is a wasteful number, since it uses less digits than its factorization.

1538740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1538740800 is about 39226.7867661882. The cubic root of 1538740800 is about 1154.4855188827.

The spelling of 1538740800 in words is "one billion, five hundred thirty-eight million, seven hundred forty thousand, eight hundred".