38753951040 has 672 divisors, whose sum is σ = 161317228800. Its totient is φ = 8851949568.

The previous prime is 38753951023. The next prime is 38753951069. The reversal of 38753951040 is 4015935783.

38753951040 is a `hidden beast` number, since 3 + 8 + 7 + 539 + 5 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26670954 + ... + 26672406.

It is an arithmetic number, because the mean of its divisors is an integer number (240055400).

Almost surely, 2^38753951040 is an apocalyptic number.

38753951040 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 38753951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80658614400).

38753951040 is an abundant number, since it is smaller than the sum of its proper divisors (122563277760).

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

38753951040 is an equidigital number, since it uses as much as digits as its factorization.

38753951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 38753951040 in words is "thirty-eight billion, seven hundred fifty-three million, nine hundred fifty-one thousand, forty".