3763400724 has 96 divisors (see below), whose sum is σ = 9958394880. Its totient is φ = 1228802400.

The previous prime is 3763400723. The next prime is 3763400743. The reversal of 3763400724 is 4270043673.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763400723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248379 + ... + 1251389.

It is an arithmetic number, because the mean of its divisors is an integer number (103733280).

Almost surely, 2^3763400724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3763400724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979197440).

3763400724 is an abundant number, since it is smaller than the sum of its proper divisors (6194994156).

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

3763400724 is a wasteful number, since it uses less digits than its factorization.

3763400724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3763400724 is about 61346.5624464811. The cubic root of 3763400724 is about 1555.4646824836.

The spelling of 3763400724 in words is "three billion, seven hundred sixty-three million, four hundred thousand, seven hundred twenty-four".