3376949760 has 240 divisors, whose sum is σ = 11817172224. Its totient is φ = 891150336.

The previous prime is 3376949759. The next prime is 3376949773. The reversal of 3376949760 is 679496733.

3376949760 is a `hidden beast` number, since 3 + 37 + 69 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3376949760² = 22807579363128115200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3376949697 and 3376949706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2372409 + ... + 2373831.

Almost surely, 2^3376949760 is an apocalyptic number.

3376949760 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 3376949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908586112).

3376949760 is an abundant number, since it is smaller than the sum of its proper divisors (8440222464).

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

3376949760 is a wasteful number, since it uses less digits than its factorization.

3376949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 3376949760 is about 58111.5286324495. The cubic root of 3376949760 is about 1500.2887977270.

The spelling of 3376949760 in words is "three billion, three hundred seventy-six million, nine hundred forty-nine thousand, seven hundred sixty".