3875762948400 has 1440 divisors, whose sum is σ = 16604552240640. Its totient is φ = 817502699520.

The previous prime is 3875762948383. The next prime is 3875762948423. The reversal of 3875762948400 is 48492675783.

3875762948400 is a `hidden beast` number, since 3 + 8 + 75 + 76 + 2 + 94 + 8 + 400 = 666.

It is a super-2 number, since 2×3875762948400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4136352732 + ... + 4136353668.

It is an arithmetic number, because the mean of its divisors is an integer number (11530939056).

Almost surely, 2^{3875762948400} is an apocalyptic number.

3875762948400 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 3875762948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302276120320).

3875762948400 is an abundant number, since it is smaller than the sum of its proper divisors (12728789292240).

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

3875762948400 is a wasteful number, since it uses less digits than its factorization.

3875762948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3875762948400 in words is "three trillion, eight hundred seventy-five billion, seven hundred sixty-two million, nine hundred forty-eight thousand, four hundred".