37449990400 has 243 divisors, whose sum is σ = 96648206263. Its totient is φ = 14366924800.

The previous prime is 37449990377. The next prime is 37449990467. The reversal of 37449990400 is 409994473.

The square root of 37449990400 is 193520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15763304704 + 21686685696 = 125552^2 + 147264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 634745571 + ... + 634745629.

Almost surely, 2^37449990400 is an apocalyptic number.

37449990400 is the 193520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37449990400

37449990400 is an abundant number, since it is smaller than the sum of its proper divisors (59198215863).

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

37449990400 is an frugal number, since it uses more digits than its factorization.

37449990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 37449990400 by its sum of digits (49), we get a square (1835049529600 = 1354640²).

The spelling of 37449990400 in words is "thirty-seven billion, four hundred forty-nine million, nine hundred ninety thousand, four hundred".