3643142024640 has 56 divisors (see below), whose sum is σ = 11566975931280. Its totient is φ = 971504539648.

The previous prime is 3643142024609. The next prime is 3643142024671. The reversal of 3643142024640 is 464202413463.

It is an interprime number because it is at equal distance from previous prime (3643142024609) and next prime (3643142024671).

It is a congruent number.

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, 1897468845 + ... + 1897470764.

It is an arithmetic number, because the mean of its divisors is an integer number (206553141630).

Almost surely, 2^{3643142024640} is an apocalyptic number.

3643142024640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3643142024640 is an abundant number, since it is smaller than the sum of its proper divisors (7923833906640).

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

3643142024640 is a wasteful number, since it uses less digits than its factorization.

3643142024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794939629 (or 3794939619 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 3643142024640 in words is "three trillion, six hundred forty-three billion, one hundred forty-two million, twenty-four thousand, six hundred forty".