3764629440 has 672 divisors, whose sum is σ = 15777545280. Its totient is φ = 839393280.

The previous prime is 3764629373. The next prime is 3764629483. The reversal of 3764629440 is 449264673.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 13590582 + ... + 13590858.

It is an arithmetic number, because the mean of its divisors is an integer number (23478490).

Almost surely, 2^3764629440 is an apocalyptic number.

3764629440 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 3764629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888772640).

3764629440 is an abundant number, since it is smaller than the sum of its proper divisors (12012915840).

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

3764629440 is a wasteful number, since it uses less digits than its factorization.

3764629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3764629440 is about 61356.5761756635. The cubic root of 3764629440 is about 1555.6339457397.

The spelling of 3764629440 in words is "three billion, seven hundred sixty-four million, six hundred twenty-nine thousand, four hundred forty".