3624849671040 has 256 divisors, whose sum is σ = 13825549281600. Its totient is φ = 892270632960.

The previous prime is 3624849671011. The next prime is 3624849671041. The reversal of 3624849671040 is 401769484263.

3624849671040 is a `hidden beast` number, since 3 + 6 + 2 + 48 + 496 + 7 + 104 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3624849671041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7843491 + ... + 8292770.

Almost surely, 2^{3624849671040} is an apocalyptic number.

3624849671040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3624849671040 is an abundant number, since it is smaller than the sum of its proper divisors (10200699610560).

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

3624849671040 is a wasteful number, since it uses less digits than its factorization.

3624849671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16136302 (or 16136284 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3624849671040 in words is "three trillion, six hundred twenty-four billion, eight hundred forty-nine million, six hundred seventy-one thousand, forty".