38735164800 has 288 divisors, whose sum is σ = 144227800080. Its totient is φ = 9880104960.

The previous prime is 38735164789. The next prime is 38735164807. The reversal of 38735164800 is 846153783.

38735164800 is a `hidden beast` number, since 387 + 35 + 164 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (38735164807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633162 + ... + 691638.

Almost surely, 2^38735164800 is an apocalyptic number.

38735164800 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 38735164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72113900040).

38735164800 is an abundant number, since it is smaller than the sum of its proper divisors (105492635280).

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

38735164800 is a wasteful number, since it uses less digits than its factorization.

38735164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58530 (or 58510 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38735164800 in words is "thirty-eight billion, seven hundred thirty-five million, one hundred sixty-four thousand, eight hundred".