3658346843040 has 288 divisors, whose sum is σ = 13708043294400. Its totient is φ = 918173159424.

The previous prime is 3658346843009. The next prime is 3658346843071. The reversal of 3658346843040 is 403486438563.

3658346843040 is a `hidden beast` number, since 3 + 65 + 83 + 468 + 4 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3658346843009) and next prime (3658346843071).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106490 + ... + 3428409.

It is an arithmetic number, because the mean of its divisors is an integer number (47597372550).

Almost surely, 2^{3658346843040} is an apocalyptic number.

3658346843040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3658346843040 is an abundant number, since it is smaller than the sum of its proper divisors (10049696451360).

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

3658346843040 is a wasteful number, since it uses less digits than its factorization.

3658346843040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534946 (or 5534926 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3658346843040 in words is "three trillion, six hundred fifty-eight billion, three hundred forty-six million, eight hundred forty-three thousand, forty".