3486777578370 has 320 divisors, whose sum is σ = 9819088725600. Its totient is φ = 887011430400.

The previous prime is 3486777578369. The next prime is 3486777578399. The reversal of 3486777578370 is 738757776843.

3486777578370 is a `hidden beast` number, since 3 + 48 + 6 + 7 + 7 + 7 + 578 + 3 + 7 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 19729854369 + 3467047724001 = 140463^2 + 1862001^2 .

It is a super-2 number, since 2×3486777578370² (a number of 26 digits) contains 22 as substring.

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, 350460156 + ... + 350470104.

Almost surely, 2^{3486777578370} is an apocalyptic number.

3486777578370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486777578370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909544362800).

3486777578370 is an abundant number, since it is smaller than the sum of its proper divisors (6332311147230).

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

3486777578370 is a wasteful number, since it uses less digits than its factorization.

3486777578370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 1161699840, while the sum is 72.

The spelling of 3486777578370 in words is "three trillion, four hundred eighty-six billion, seven hundred seventy-seven million, five hundred seventy-eight thousand, three hundred seventy".