3391385760 has 576 divisors, whose sum is σ = 14542924032. Its totient is φ = 728580096.

The previous prime is 3391385741. The next prime is 3391385761. The reversal of 3391385760 is 675831933.

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

It is not an unprimeable number, because it can be changed into a prime (3391385761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626354 + ... + 4627086.

It is an arithmetic number, because the mean of its divisors is an integer number (25248132).

Almost surely, 2^3391385760 is an apocalyptic number.

3391385760 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 3391385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271462016).

3391385760 is an abundant number, since it is smaller than the sum of its proper divisors (11151538272).

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

3391385760 is a wasteful number, since it uses less digits than its factorization.

3391385760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3391385760 is about 58235.6056034450. The cubic root of 3391385760 is about 1502.4236019932.

The spelling of 3391385760 in words is "three billion, three hundred ninety-one million, three hundred eighty-five thousand, seven hundred sixty".