3735843990400 has 96 divisors (see below), whose sum is σ = 9443323434600. Its totient is φ = 1459585505280.

The previous prime is 3735843990383. The next prime is 3735843990401. The reversal of 3735843990400 is 40993485373.

3735843990400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735843990401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13437415 + ... + 13712614.

Almost surely, 2^{3735843990400} is an apocalyptic number.

It is an amenable number.

3735843990400 is an abundant number, since it is smaller than the sum of its proper divisors (5707479444200).

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

3735843990400 is a wasteful number, since it uses less digits than its factorization.

3735843990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27150096 (or 27150079 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 3735843990400 in words is "three trillion, seven hundred thirty-five billion, eight hundred forty-three million, nine hundred ninety thousand, four hundred".