3632999040 has 640 divisors, whose sum is σ = 14822248320. Its totient is φ = 839393280.

The previous prime is 3632999033. The next prime is 3632999047. The reversal of 3632999040 is 409992363.

3632999040 is a `hidden beast` number, since 3 + 632 + 9 + 9 + 9 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3632999033) and next prime (3632999047).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3632999047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13115382 + ... + 13115658.

It is an arithmetic number, because the mean of its divisors is an integer number (23159763).

Almost surely, 2^3632999040 is an apocalyptic number.

3632999040 is a gapful number since it is divisible by the number (30) 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 3632999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411124160).

3632999040 is an abundant number, since it is smaller than the sum of its proper divisors (11189249280).

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

3632999040 is a wasteful number, since it uses less digits than its factorization.

3632999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3632999040 is about 60274.3647000945. The cubic root of 3632999040 is about 1537.2874947228.

The spelling of 3632999040 in words is "three billion, six hundred thirty-two million, nine hundred ninety-nine thousand, forty".