3364396958340 has 432 divisors, whose sum is σ = 11775688404480. Its totient is φ = 775914163200.

The previous prime is 3364396958339. The next prime is 3364396958401. The reversal of 3364396958340 is 438596934633.

It is a happy number.

3364396958340 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 3 + 9 + 6 + 9 + 583 + 40 = 666.

It is a super-2 number, since 2×3364396958340² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39793392 + ... + 39877848.

Almost surely, 2^{3364396958340} is an apocalyptic number.

3364396958340 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 3364396958340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887844202240).

3364396958340 is an abundant number, since it is smaller than the sum of its proper divisors (8411291446140).

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

3364396958340 is a wasteful number, since it uses less digits than its factorization.

3364396958340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84584 (or 84568 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 3364396958340 in words is "three trillion, three hundred sixty-four billion, three hundred ninety-six million, nine hundred fifty-eight thousand, three hundred forty".