3390951778632 has 256 divisors, whose sum is σ = 10320410880000. Its totient is φ = 1023091188480.

The previous prime is 3390951778619. The next prime is 3390951778637. The reversal of 3390951778632 is 2368771590933.

3390951778632 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 9 + 517 + 7 + 86 + 32 = 666.

It is a super-2 number, since 2×3390951778632² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3390951778632.

It is not an unprimeable number, because it can be changed into a prime (3390951778637) 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 63 ways as a sum of consecutive naturals, for example, 572116453 + ... + 572122379.

It is an arithmetic number, because the mean of its divisors is an integer number (40314105000).

Almost surely, 2^{3390951778632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390951778632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160205440000).

3390951778632 is an abundant number, since it is smaller than the sum of its proper divisors (6929459101368).

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

3390951778632 is a wasteful number, since it uses less digits than its factorization.

3390951778632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 3390951778632 in words is "three trillion, three hundred ninety billion, nine hundred fifty-one million, seven hundred seventy-eight thousand, six hundred thirty-two".