3348749760 has 224 divisors, whose sum is σ = 11307470400. Its totient is φ = 836763648.

The previous prime is 3348749759. The next prime is 3348749771. The reversal of 3348749760 is 679478433.

It is a happy number.

It is a super-2 number, since 2×3348749760² = 22428249910200115200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7327452 + ... + 7327908.

Almost surely, 2^3348749760 is an apocalyptic number.

3348749760 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 3348749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653735200).

3348749760 is an abundant number, since it is smaller than the sum of its proper divisors (7958720640).

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

3348749760 is a wasteful number, since it uses less digits than its factorization.

3348749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The square root of 3348749760 is about 57868.3830774629. The cubic root of 3348749760 is about 1496.1009492728.

The spelling of 3348749760 in words is "three billion, three hundred forty-eight million, seven hundred forty-nine thousand, seven hundred sixty".