37982552400 has 360 divisors, whose sum is σ = 147211515360. Its totient is φ = 9349240320.

The previous prime is 37982552341. The next prime is 37982552431. The reversal of 37982552400 is 425528973.

37982552400 is a `hidden beast` number, since 3 + 7 + 98 + 2 + 552 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1248571 + ... + 1278629.

It is an arithmetic number, because the mean of its divisors is an integer number (408920876).

Almost surely, 2^37982552400 is an apocalyptic number.

37982552400 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 37982552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73605757680).

37982552400 is an abundant number, since it is smaller than the sum of its proper divisors (109228962960).

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

37982552400 is a wasteful number, since it uses less digits than its factorization.

37982552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30105 (or 30082 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 37982552400 in words is "thirty-seven billion, nine hundred eighty-two million, five hundred fifty-two thousand, four hundred".