38953094400 has 1296 divisors, whose sum is σ = 165851468160. Its totient is φ = 9032601600.

The previous prime is 38953094387. The next prime is 38953094413. The reversal of 38953094400 is 449035983.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38953094387) and next prime (38953094413).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×38953094400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1693612789 + ... + 1693612811.

Almost surely, 2^38953094400 is an apocalyptic number.

38953094400 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 38953094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82925734080).

38953094400 is an abundant number, since it is smaller than the sum of its proper divisors (126898373760).

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

38953094400 is an equidigital number, since it uses as much as digits as its factorization.

38953094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 38953094400 in words is "thirty-eight billion, nine hundred fifty-three million, ninety-four thousand, four hundred".