38970086400 has 792 divisors, whose sum is σ = 162137203904. Its totient is φ = 8758886400.

The previous prime is 38970086399. The next prime is 38970086429. The reversal of 38970086400 is 468007983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 117734235 + ... + 117734565.

Almost surely, 2^38970086400 is an apocalyptic number.

38970086400 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 38970086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81068601952).

38970086400 is an abundant number, since it is smaller than the sum of its proper divisors (123167117504).

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

38970086400 is a wasteful number, since it uses less digits than its factorization.

38970086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 389700 and 86400, that added together give a square (476100 = 690²).

The spelling of 38970086400 in words is "thirty-eight billion, nine hundred seventy million, eighty-six thousand, four hundred".