38145902200 has 288 divisors, whose sum is σ = 110368092240. Its totient is φ = 12182016000.

The previous prime is 38145902153. The next prime is 38145902237. The reversal of 38145902200 is 220954183.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16825467 + ... + 16827733.

Almost surely, 2^38145902200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38145902200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55184046120).

38145902200 is an abundant number, since it is smaller than the sum of its proper divisors (72222190040).

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

38145902200 is a wasteful number, since it uses less digits than its factorization.

38145902200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 38145902200 in words is "thirty-eight billion, one hundred forty-five million, nine hundred two thousand, two hundred".