3770498400 has 144 divisors (see below), whose sum is σ = 12322742544. Its totient is φ = 1001390080.

The previous prime is 3770498393. The next prime is 3770498419. The reversal of 3770498400 is 48940773.

3770498400 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613744 + ... + 619856.

It is an arithmetic number, because the mean of its divisors is an integer number (85574601).

Almost surely, 2^3770498400 is an apocalyptic number.

3770498400 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 3770498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161371272).

3770498400 is an abundant number, since it is smaller than the sum of its proper divisors (8552244144).

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

3770498400 is a wasteful number, since it uses less digits than its factorization.

3770498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3770498400 is about 61404.3842082957. The cubic root of 3770498400 is about 1556.4419237181.

The spelling of 3770498400 in words is "three billion, seven hundred seventy million, four hundred ninety-eight thousand, four hundred".