3622859735040 has 3072 divisors, whose sum is σ = 17175412800000. Its totient is φ = 699182088192.

The previous prime is 3622859735003. The next prime is 3622859735041. The reversal of 3622859735040 is 405379582263.

3622859735040 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 8 + 597 + 3 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×3622859735040² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3622859735041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124926197746 + ... + 124926197774.

Almost surely, 2^{3622859735040} is an apocalyptic number.

3622859735040 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 3622859735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587706400000).

3622859735040 is an abundant number, since it is smaller than the sum of its proper divisors (13552553064960).

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

3622859735040 is a wasteful number, since it uses less digits than its factorization.

3622859735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3622859735040 in words is "three trillion, six hundred twenty-two billion, eight hundred fifty-nine million, seven hundred thirty-five thousand, forty".