3634744000 has 112 divisors (see below), whose sum is σ = 9312432480. Its totient is φ = 1403673600.

The previous prime is 3634743979. The next prime is 3634744021. The reversal of 3634744000 is 4474363.

It is an interprime number because it is at equal distance from previous prime (3634743979) and next prime (3634744021).

It is a super-2 number, since 2×3634744000² = 26422727891072000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224167 + ... + 239833.

Almost surely, 2^3634744000 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 3634744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656216240).

3634744000 is an abundant number, since it is smaller than the sum of its proper divisors (5677688480).

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

3634744000 is a wasteful number, since it uses less digits than its factorization.

3634744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 3634744000 is about 60288.8381045779. The cubic root of 3634744000 is about 1537.5335793666.

The spelling of 3634744000 in words is "three billion, six hundred thirty-four million, seven hundred forty-four thousand".