3413376000000 has 588 divisors, whose sum is σ = 12329329604436. Its totient is φ = 909926400000.

The previous prime is 3413375999983. The next prime is 3413376000017. The reversal of 3413376000000 is 6733143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3413375999983) and next prime (3413376000017).

It is a super-2 number, since 2×3413376000000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1151998519 + ... + 1152001481.

Almost surely, 2^{3413376000000} is an apocalyptic number.

3413376000000 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 3413376000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164664802218).

3413376000000 is an abundant number, since it is smaller than the sum of its proper divisors (8915953604436).

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

3413376000000 is an frugal number, since it uses more digits than its factorization.

3413376000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 3413376000000 in words is "three trillion, four hundred thirteen billion, three hundred seventy-six million", and thus it is an aban number.