3337000380 has 288 divisors, whose sum is σ = 12537068544. Its totient is φ = 700987392.

The previous prime is 3337000367. The next prime is 3337000393. The reversal of 3337000380 is 830007333.

It is an interprime number because it is at equal distance from previous prime (3337000367) and next prime (3337000393).

It is a super-2 number, since 2×3337000380² = 22271143072240288800, which 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 95 ways as a sum of consecutive naturals, for example, 919249 + ... + 922871.

It is an arithmetic number, because the mean of its divisors is an integer number (43531488).

Almost surely, 2^3337000380 is an apocalyptic number.

3337000380 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 3337000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268534272).

3337000380 is an abundant number, since it is smaller than the sum of its proper divisors (9200068164).

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

3337000380 is a wasteful number, since it uses less digits than its factorization.

3337000380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3700 counting only the distinct ones).

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

The square root of 3337000380 is about 57766.7757452327. The cubic root of 3337000380 is about 1494.3491654447.

The spelling of 3337000380 in words is "three billion, three hundred thirty-seven million, three hundred eighty", and thus it is an aban number.