3736826352 has 160 divisors (see below), whose sum is σ = 12353256960. Its totient is φ = 1059402240.

The previous prime is 3736826341. The next prime is 3736826383. The reversal of 3736826352 is 2536286373.

3736826352 is a `hidden beast` number, since 3 + 7 + 3 + 6 + 8 + 2 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3736826298 and 3736826307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391428 + ... + 400860.

It is an arithmetic number, because the mean of its divisors is an integer number (77207856).

Almost surely, 2^3736826352 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 3736826352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176628480).

3736826352 is an abundant number, since it is smaller than the sum of its proper divisors (8616430608).

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

3736826352 is a wasteful number, since it uses less digits than its factorization.

3736826352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588 (or 9576 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3736826352 is about 61129.5865518490. The cubic root of 3736826352 is about 1551.7948479140.

The spelling of 3736826352 in words is "three billion, seven hundred thirty-six million, eight hundred twenty-six thousand, three hundred fifty-two".