3759974400 has 576 divisors, whose sum is σ = 15355267200. Its totient is φ = 790364160.

The previous prime is 3759974363. The next prime is 3759974417. The reversal of 3759974400 is 44799573.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3759974400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13977466 + ... + 13977734.

It is an arithmetic number, because the mean of its divisors is an integer number (26658450).

Almost surely, 2^3759974400 is an apocalyptic number.

3759974400 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 3759974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677633600).

3759974400 is an abundant number, since it is smaller than the sum of its proper divisors (11595292800).

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

3759974400 is a wasteful number, since it uses less digits than its factorization.

3759974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 3759974400 is about 61318.6301216849. The cubic root of 3759974400 is about 1554.9924903915.

The spelling of 3759974400 in words is "three billion, seven hundred fifty-nine million, nine hundred seventy-four thousand, four hundred".