38980838400 has 528 divisors, whose sum is σ = 152053125120. Its totient is φ = 8618803200.

The previous prime is 38980838371. The next prime is 38980838411. The reversal of 38980838400 is 483808983.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16664431 + ... + 16666769.

Almost surely, 2^38980838400 is an apocalyptic number.

38980838400 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 38980838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76026562560).

38980838400 is an abundant number, since it is smaller than the sum of its proper divisors (113072286720).

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

38980838400 is a wasteful number, since it uses less digits than its factorization.

38980838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 38980838400 in words is "thirty-eight billion, nine hundred eighty million, eight hundred thirty-eight thousand, four hundred".