3399701760 has 1152 divisors, whose sum is σ = 15823503360. Its totient is φ = 671514624.

The previous prime is 3399701689. The next prime is 3399701777. The reversal of 3399701760 is 671079933.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72334057 + ... + 72334103.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 2^3399701760 is an apocalyptic number.

3399701760 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 3399701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911751680).

3399701760 is an abundant number, since it is smaller than the sum of its proper divisors (12423801600).

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

3399701760 is a wasteful number, since it uses less digits than its factorization.

3399701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 3399701760 is about 58306.9615054669. The cubic root of 3399701760 is about 1503.6506280687.

The spelling of 3399701760 in words is "three billion, three hundred ninety-nine million, seven hundred one thousand, seven hundred sixty".