3407859840 has 768 divisors, whose sum is σ = 14316393600. Its totient is φ = 681246720.

The previous prime is 3407859827. The next prime is 3407859841. The reversal of 3407859840 is 489587043.

It is a super-2 number, since 2×3407859840² = 23227017378169651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3407859840.

It is not an unprimeable number, because it can be changed into a prime (3407859841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38290516 + ... + 38290604.

Almost surely, 2^3407859840 is an apocalyptic number.

3407859840 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 3407859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158196800).

3407859840 is an abundant number, since it is smaller than the sum of its proper divisors (10908533760).

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

3407859840 is a wasteful number, since it uses less digits than its factorization.

3407859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3407859840 is about 58376.8776143432. The cubic root of 3407859840 is about 1504.8524102610.

The spelling of 3407859840 in words is "three billion, four hundred seven million, eight hundred fifty-nine thousand, eight hundred forty".