3379691520 has 288 divisors, whose sum is σ = 12079549440. Its totient is φ = 896532480.

The previous prime is 3379691509. The next prime is 3379691531. The reversal of 3379691520 is 251969733.

3379691520 is a `hidden beast` number, since 3 + 37 + 9 + 6 + 91 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (3379691509) and next prime (3379691531).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3379691520² = 22844629540719820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694625 + ... + 17694815.

It is an arithmetic number, because the mean of its divisors is an integer number (41942880).

Almost surely, 2^3379691520 is an apocalyptic number.

3379691520 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 3379691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039774720).

3379691520 is an abundant number, since it is smaller than the sum of its proper divisors (8699857920).

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

3379691520 is an frugal number, since it uses more digits than its factorization.

3379691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3379691520 is about 58135.1143458065. The cubic root of 3379691520 is about 1500.6947181947.

It can be divided in two parts, 33796 and 91520, that added together give a square (125316 = 354²).

The spelling of 3379691520 in words is "three billion, three hundred seventy-nine million, six hundred ninety-one thousand, five hundred twenty".