3460826880 has 324 divisors, whose sum is σ = 13931327592. Its totient is φ = 790917120.

The previous prime is 3460826879. The next prime is 3460826893. The reversal of 3460826880 is 886280643.

It is a happy number.

3460826880 is a `hidden beast` number, since 34 + 608 + 2 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 561415 + ... + 567545.

Almost surely, 2^3460826880 is an apocalyptic number.

3460826880 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 3460826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965663796).

3460826880 is an abundant number, since it is smaller than the sum of its proper divisors (10470500712).

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

3460826880 is a wasteful number, since it uses less digits than its factorization.

3460826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3460826880 is about 58828.7929503912. The cubic root of 3460826880 is about 1512.6088083278.

The spelling of 3460826880 in words is "three billion, four hundred sixty million, eight hundred twenty-six thousand, eight hundred eighty".