3401355240 has 320 divisors, whose sum is σ = 12439429200. Its totient is φ = 830103552.

The previous prime is 3401355233. The next prime is 3401355289. The reversal of 3401355240 is 425531043.

3401355240 is a `hidden beast` number, since 3 + 4 + 0 + 135 + 524 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2719205316 + 682149924 = 52146^2 + 26118^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2037126 + ... + 2038794.

Almost surely, 2^3401355240 is an apocalyptic number.

3401355240 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 3401355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219714600).

3401355240 is an abundant number, since it is smaller than the sum of its proper divisors (9038073960).

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

3401355240 is a wasteful number, since it uses less digits than its factorization.

3401355240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3401355240 is about 58321.1388777688. The cubic root of 3401355240 is about 1503.8943605540.

Adding to 3401355240 its reverse (425531043), we get a palindrome (3826886283).

It can be divided in two parts, 34013 and 55240, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 3401355240 in words is "three billion, four hundred one million, three hundred fifty-five thousand, two hundred forty".