3607345695240 has 640 divisors, whose sum is σ = 14006805120000. Its totient is φ = 815650767360.

The previous prime is 3607345695097. The next prime is 3607345695271. The reversal of 3607345695240 is 425965437063.

3607345695240 is a `hidden beast` number, since 3 + 6 + 0 + 7 + 34 + 569 + 5 + 2 + 40 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1030963011 + ... + 1030966509.

It is an arithmetic number, because the mean of its divisors is an integer number (21885633000).

Almost surely, 2^{3607345695240} is an apocalyptic number.

3607345695240 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 3607345695240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003402560000).

3607345695240 is an abundant number, since it is smaller than the sum of its proper divisors (10399459424760).

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

3607345695240 is a wasteful number, since it uses less digits than its factorization.

3607345695240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 3607345695240 in words is "three trillion, six hundred seven billion, three hundred forty-five million, six hundred ninety-five thousand, two hundred forty".