38445451200 has 840 divisors, whose sum is σ = 160329443120. Its totient is φ = 8957952000.

The previous prime is 38445451189. The next prime is 38445451229. The reversal of 38445451200 is 215454483.

It is a happy number.

38445451200 is a `hidden beast` number, since 3 + 8 + 445 + 4 + 5 + 1 + 200 = 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 119 ways as a sum of consecutive naturals, for example, 32010600 + ... + 32011800.

Almost surely, 2^38445451200 is an apocalyptic number.

38445451200 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 38445451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80164721560).

38445451200 is an abundant number, since it is smaller than the sum of its proper divisors (121883991920).

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

38445451200 is a wasteful number, since it uses less digits than its factorization.

38445451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 38445451200 in words is "thirty-eight billion, four hundred forty-five million, four hundred fifty-one thousand, two hundred".