3333345840 has 480 divisors, whose sum is σ = 13203440640. Its totient is φ = 745113600.

The previous prime is 3333345809. The next prime is 3333345857. The reversal of 3333345840 is 485433333.

It is a super-2 number, since 2×3333345840² = 22222388978090611200, 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 = 3333345795 and 3333345804.

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, 5282325 + ... + 5282955.

It is an arithmetic number, because the mean of its divisors is an integer number (27507168).

Almost surely, 2^3333345840 is an apocalyptic number.

3333345840 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 3333345840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601720320).

3333345840 is an abundant number, since it is smaller than the sum of its proper divisors (9870094800).

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

3333345840 is a wasteful number, since it uses less digits than its factorization.

3333345840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3333345840 is about 57735.1352297715. The cubic root of 3333345840 is about 1493.8034504312.

The spelling of 3333345840 in words is "three billion, three hundred thirty-three million, three hundred forty-five thousand, eight hundred forty".