3709429032960 has 960 divisors, whose sum is σ = 15314267928960. Its totient is φ = 841224683520.

The previous prime is 3709429032949. The next prime is 3709429032989. The reversal of 3709429032960 is 692309249073.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×3709429032960³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3709429032897 and 3709429032906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 760594042 + ... + 760598918.

It is an arithmetic number, because the mean of its divisors is an integer number (15952362426).

Almost surely, 2^{3709429032960} is an apocalyptic number.

3709429032960 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 3709429032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657133964480).

3709429032960 is an abundant number, since it is smaller than the sum of its proper divisors (11604838896000).

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

3709429032960 is a wasteful number, since it uses less digits than its factorization.

3709429032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 3709429032960 in words is "three trillion, seven hundred nine billion, four hundred twenty-nine million, thirty-two thousand, nine hundred sixty".