3761737830400 has 1053 divisors, whose sum is σ = 11207103723543. Its totient is φ = 1251223142400.

The previous prime is 3761737830397. The next prime is 3761737830439. The reversal of 3761737830400 is 40387371673.

It is a happy number.

The square root of 3761737830400 is 1939520.

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 51707121664 + 3710030708736 = 227392^2 + 1926144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 129715097586 + ... + 129715097614.

Almost surely, 2^{3761737830400} is an apocalyptic number.

3761737830400 is the 1939520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3761737830400

3761737830400 is an abundant number, since it is smaller than the sum of its proper divisors (7445365893143).

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

3761737830400 is a wasteful number, since it uses less digits than its factorization.

3761737830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 49.

Multiplying 3761737830400 by its sum of digits (49), we get a square (184325153689600 = 13576640²).

The spelling of 3761737830400 in words is "three trillion, seven hundred sixty-one billion, seven hundred thirty-seven million, eight hundred thirty thousand, four hundred".