3426540408 has 160 divisors (see below), whose sum is σ = 10158192000. Its totient is φ = 1076120640.

The previous prime is 3426540401. The next prime is 3426540419. The reversal of 3426540408 is 8040456243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426540401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2597173 + ... + 2598491.

It is an arithmetic number, because the mean of its divisors is an integer number (63488700).

Almost surely, 2^3426540408 is an apocalyptic number.

3426540408 is a gapful number since it is divisible by the number (38) 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 3426540408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079096000).

3426540408 is an abundant number, since it is smaller than the sum of its proper divisors (6731651592).

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

3426540408 is a wasteful number, since it uses less digits than its factorization.

3426540408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3426540408 is about 58536.6586678809. The cubic root of 3426540408 is about 1507.5970740192.

The spelling of 3426540408 in words is "three billion, four hundred twenty-six million, five hundred forty thousand, four hundred eight".