1338876000 has 1152 divisors, whose sum is σ = 6453457920. Its totient is φ = 266112000.

The previous prime is 1338875971. The next prime is 1338876047. The reversal of 1338876000 is 6788331.

1338876000 is a `hidden beast` number, since 13 + 38 + 8 + 7 + 600 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 58211989 + ... + 58212011.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^1338876000 is an apocalyptic number.

1338876000 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 1338876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

1338876000 is an abundant number, since it is smaller than the sum of its proper divisors (5114581920).

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

1338876000 is a wasteful number, since it uses less digits than its factorization.

1338876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1338876000 is about 36590.6545445692. The cubic root of 1338876000 is about 1102.1654313607.

1338876000 divided by its sum of digits (36) gives a triangular number (37191000 = T₈₆₂₄).

The spelling of 1338876000 in words is "one billion, three hundred thirty-eight million, eight hundred seventy-six thousand".