3406037040 has 600 divisors, whose sum is σ = 14593610592. Its totient is φ = 731566080.

The previous prime is 3406037021. The next prime is 3406037069. The reversal of 3406037040 is 407306043.

It is a super-3 number, since 3×3406037040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3406036995 and 3406037013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5397525 + ... + 5398155.

Almost surely, 2^3406037040 is an apocalyptic number.

3406037040 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 3406037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296805296).

3406037040 is an abundant number, since it is smaller than the sum of its proper divisors (11187573552).

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

3406037040 is a wasteful number, since it uses less digits than its factorization.

3406037040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3406037040 is about 58361.2631802979. The cubic root of 3406037040 is about 1504.5840566788.

The spelling of 3406037040 in words is "three billion, four hundred six million, thirty-seven thousand, forty".