3355914240 has 780 divisors, whose sum is σ = 14605011696. Its totient is φ = 721944576.

The previous prime is 3355914239. The next prime is 3355914251. The reversal of 3355914240 is 424195533.

It is a super-2 number, since 2×3355914240² = 22524320772469555200, 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 = 3355914195 and 3355914204.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 197406712 + ... + 197406728.

Almost surely, 2^3355914240 is an apocalyptic number.

3355914240 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 3355914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302505848).

3355914240 is an abundant number, since it is smaller than the sum of its proper divisors (11249097456).

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

3355914240 is an equidigital number, since it uses as much as digits as its factorization.

3355914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3355914240 is about 57930.2532361114. The cubic root of 3355914240 is about 1497.1671332788.

The spelling of 3355914240 in words is "three billion, three hundred fifty-five million, nine hundred fourteen thousand, two hundred forty".