3674956824 has 384 divisors, whose sum is σ = 13099968000. Its totient is φ = 934053120.

The previous prime is 3674956787. The next prime is 3674956829. The reversal of 3674956824 is 4286594763.

3674956824 is a `hidden beast` number, since 3 + 6 + 74 + 9 + 568 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674956829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9696267 + ... + 9696645.

It is an arithmetic number, because the mean of its divisors is an integer number (34114500).

Almost surely, 2^3674956824 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 3674956824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549984000).

3674956824 is an abundant number, since it is smaller than the sum of its proper divisors (9425011176).

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

3674956824 is a wasteful number, since it uses less digits than its factorization.

3674956824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 455 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3674956824 is about 60621.4221542187. The cubic root of 3674956824 is about 1543.1829406336.

The spelling of 3674956824 in words is "three billion, six hundred seventy-four million, nine hundred fifty-six thousand, eight hundred twenty-four".