3641345040 has 40 divisors (see below), whose sum is σ = 11288170368. Its totient is φ = 971025280.

The previous prime is 3641345023. The next prime is 3641345051. The reversal of 3641345040 is 405431463.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3641344989 and 3641345007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7585896 + ... + 7586375.

Almost surely, 2^3641345040 is an apocalyptic number.

3641345040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3641345040 is an abundant number, since it is smaller than the sum of its proper divisors (7646825328).

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

3641345040 is a wasteful number, since it uses less digits than its factorization.

3641345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15172287 (or 15172281 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3641345040 is about 60343.5583968993. The cubic root of 3641345040 is about 1538.4637854377.

The spelling of 3641345040 in words is "three billion, six hundred forty-one million, three hundred forty-five thousand, forty".