3407424240 has 320 divisors, whose sum is σ = 12735470592. Its totient is φ = 743424000.

The previous prime is 3407424211. The next prime is 3407424259. The reversal of 3407424240 is 424247043.

It is a happy number.

It is a super-2 number, since 2×3407424240² = 23221079902679155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3407424198 and 3407424207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1030590 + ... + 1033890.

Almost surely, 2^3407424240 is an apocalyptic number.

3407424240 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 3407424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367735296).

3407424240 is an abundant number, since it is smaller than the sum of its proper divisors (9328046352).

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

3407424240 is a wasteful number, since it uses less digits than its factorization.

3407424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 3407424240 is about 58373.1465658654. The cubic root of 3407424240 is about 1504.7882897012.

The spelling of 3407424240 in words is "three billion, four hundred seven million, four hundred twenty-four thousand, two hundred forty".