37445990400 has 1728 divisors, whose sum is σ = 177438643200. Its totient is φ = 7325614080.

The previous prime is 37445990369. The next prime is 37445990453. The reversal of 37445990400 is 409954473.

It is a happy number.

37445990400 is a `hidden beast` number, since 3 + 74 + 459 + 90 + 40 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 796723177 + ... + 796723223.

It is an arithmetic number, because the mean of its divisors is an integer number (102684400).

Almost surely, 2^37445990400 is an apocalyptic number.

37445990400 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 37445990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88719321600).

37445990400 is an abundant number, since it is smaller than the sum of its proper divisors (139992652800).

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

37445990400 is a wasteful number, since it uses less digits than its factorization.

37445990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 3744 and 5990400, that multiplied together give a square (22428057600 = 149760²).

The spelling of 37445990400 in words is "thirty-seven billion, four hundred forty-five million, nine hundred ninety thousand, four hundred".