38097774000 has 1440 divisors, whose sum is σ = 169010307648. Its totient is φ = 7879680000.

The previous prime is 38097773999. The next prime is 38097774023. The reversal of 38097774000 is 47779083.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 929213980 + ... + 929214020.

Almost surely, 2^38097774000 is an apocalyptic number.

38097774000 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 38097774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84505153824).

38097774000 is an abundant number, since it is smaller than the sum of its proper divisors (130912533648).

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

38097774000 is a wasteful number, since it uses less digits than its factorization.

38097774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 38097774000 in words is "thirty-eight billion, ninety-seven million, seven hundred seventy-four thousand".