38495001600 has 1056 divisors, whose sum is σ = 158632346880. Its totient is φ = 9068544000.

The previous prime is 38495001551. The next prime is 38495001607. The reversal of 38495001600 is 610059483.

38495001600 is a `hidden beast` number, since 3 + 8 + 49 + 5 + 0 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38495001607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463795159 + ... + 463795241.

Almost surely, 2^38495001600 is an apocalyptic number.

38495001600 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 38495001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79316173440).

38495001600 is an abundant number, since it is smaller than the sum of its proper divisors (120137345280).

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

38495001600 is a wasteful number, since it uses less digits than its factorization.

38495001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 38495001600 in words is "thirty-eight billion, four hundred ninety-five million, one thousand, six hundred".