3384366240 has 96 divisors (see below), whose sum is σ = 10674115200. Its totient is φ = 901366784.

The previous prime is 3384366233. The next prime is 3384366247. The reversal of 3384366240 is 426634833.

It is an interprime number because it is at equal distance from previous prime (3384366233) and next prime (3384366247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3384366240² = 22907869692903475200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3384366247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421786 + ... + 429734.

It is an arithmetic number, because the mean of its divisors is an integer number (111188700).

Almost surely, 2^3384366240 is an apocalyptic number.

3384366240 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 3384366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337057600).

3384366240 is an abundant number, since it is smaller than the sum of its proper divisors (7289748960).

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

3384366240 is a wasteful number, since it uses less digits than its factorization.

3384366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8854 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The square root of 3384366240 is about 58175.3061014723. The cubic root of 3384366240 is about 1501.3863094804.

The spelling of 3384366240 in words is "three billion, three hundred eighty-four million, three hundred sixty-six thousand, two hundred forty".