3762993024 has 336 divisors, whose sum is σ = 13090686120. Its totient is φ = 1073834496.

The previous prime is 3762993023. The next prime is 3762993041. The reversal of 3762993024 is 4203992673.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3762993023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4571877 + ... + 4572699.

Almost surely, 2^3762993024 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 3762993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545343060).

3762993024 is an abundant number, since it is smaller than the sum of its proper divisors (9327693096).

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

3762993024 is an frugal number, since it uses more digits than its factorization.

3762993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3762993024 is about 61343.2394319048. The cubic root of 3762993024 is about 1555.4085111376.

The spelling of 3762993024 in words is "three billion, seven hundred sixty-two million, nine hundred ninety-three thousand, twenty-four".