3746236824 has 256 divisors, whose sum is σ = 12115008000. Its totient is φ = 1060024320.

The previous prime is 3746236811. The next prime is 3746236843. The reversal of 3746236824 is 4286326473.

3746236824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3746236824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6583612 + ... + 6584180.

It is an arithmetic number, because the mean of its divisors is an integer number (47324250).

Almost surely, 2^3746236824 is an apocalyptic number.

3746236824 is a gapful number since it is divisible by the number (34) 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 3746236824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057504000).

3746236824 is an abundant number, since it is smaller than the sum of its proper divisors (8368771176).

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

3746236824 is a wasteful number, since it uses less digits than its factorization.

3746236824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3746236824 is about 61206.5096537942. The cubic root of 3746236824 is about 1553.0963873610.

The spelling of 3746236824 in words is "three billion, seven hundred forty-six million, two hundred thirty-six thousand, eight hundred twenty-four".