3401556840 has 384 divisors, whose sum is σ = 12606796800. Its totient is φ = 794534400.

The previous prime is 3401556817. The next prime is 3401556859. The reversal of 3401556840 is 486551043.

It is a happy number.

3401556840 is a `hidden beast` number, since 3 + 40 + 15 + 568 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3401556795 and 3401556804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14853846 + ... + 14854074.

It is an arithmetic number, because the mean of its divisors is an integer number (32830200).

Almost surely, 2^3401556840 is an apocalyptic number.

3401556840 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 3401556840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303398400).

3401556840 is an abundant number, since it is smaller than the sum of its proper divisors (9205239960).

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

3401556840 is a wasteful number, since it uses less digits than its factorization.

3401556840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3401556840 is about 58322.8672134695. The cubic root of 3401556840 is about 1503.9240721534.

The spelling of 3401556840 in words is "three billion, four hundred one million, five hundred fifty-six thousand, eight hundred forty".