38958040800 has 1152 divisors, whose sum is σ = 172788940800. Its totient is φ = 8273664000.

The previous prime is 38958040763. The next prime is 38958040801. The reversal of 38958040800 is 804085983.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38958040801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203968705 + ... + 203968895.

It is an arithmetic number, because the mean of its divisors is an integer number (149990400).

Almost surely, 2^38958040800 is an apocalyptic number.

38958040800 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 38958040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86394470400).

38958040800 is an abundant number, since it is smaller than the sum of its proper divisors (133830900000).

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

38958040800 is a wasteful number, since it uses less digits than its factorization.

38958040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 38958040800 in words is "thirty-eight billion, nine hundred fifty-eight million, forty thousand, eight hundred".