3643031040 has 320 divisors, whose sum is σ = 13152015360. Its totient is φ = 852131840.

The previous prime is 3643031039. The next prime is 3643031047. The reversal of 3643031040 is 401303463.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3643031040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643031047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2449177 + ... + 2450663.

It is an arithmetic number, because the mean of its divisors is an integer number (41100048).

Almost surely, 2^3643031040 is an apocalyptic number.

3643031040 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 3643031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576007680).

3643031040 is an abundant number, since it is smaller than the sum of its proper divisors (9508984320).

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

3643031040 is a wasteful number, since it uses less digits than its factorization.

3643031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3643031040 is about 60357.5267882971. The cubic root of 3643031040 is about 1538.7011931068.

The spelling of 3643031040 in words is "three billion, six hundred forty-three million, thirty-one thousand, forty".