3370100486400 has 648 divisors, whose sum is σ = 12604952997000. Its totient is φ = 857916702720.

The previous prime is 3370100486327. The next prime is 3370100486419. The reversal of 3370100486400 is 46840010733.

3370100486400 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 1 + 0 + 0 + 4 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 468447162624 + 2901653323776 = 684432^2 + 1703424^2 .

It is a super-2 number, since 2×3370100486400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148654266 + ... + 148676934.

Almost surely, 2^{3370100486400} is an apocalyptic number.

3370100486400 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 3370100486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302476498500).

3370100486400 is an abundant number, since it is smaller than the sum of its proper divisors (9234852510600).

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

3370100486400 is a wasteful number, since it uses less digits than its factorization.

3370100486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22819 (or 22797 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3370100486400 in words is "three trillion, three hundred seventy billion, one hundred million, four hundred eighty-six thousand, four hundred".