3355107840 has 480 divisors, whose sum is σ = 13512635136. Its totient is φ = 753500160.

The previous prime is 3355107839. The next prime is 3355107853. The reversal of 3355107840 is 487015533.

3355107840 is a `hidden beast` number, since 3 + 35 + 510 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3355107840² = 22513497236058931200, which contains 22 as substring.

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 = 3355107795 and 3355107804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11450734 + ... + 11451026.

Almost surely, 2^3355107840 is an apocalyptic number.

3355107840 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 3355107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756317568).

3355107840 is an abundant number, since it is smaller than the sum of its proper divisors (10157527296).

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

3355107840 is a wasteful number, since it uses less digits than its factorization.

3355107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3355107840 is about 57923.2927240847. The cubic root of 3355107840 is about 1497.0472044799.

The spelling of 3355107840 in words is "three billion, three hundred fifty-five million, one hundred seven thousand, eight hundred forty".