3409691773440 has 1280 divisors, whose sum is σ = 12490172006400. Its totient is φ = 788363476992.

The previous prime is 3409691773399. The next prime is 3409691773463. The reversal of 3409691773440 is 443771969043.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 24888261052 + ... + 24888261188.

It is an arithmetic number, because the mean of its divisors is an integer number (9757946880).

Almost surely, 2^{3409691773440} is an apocalyptic number.

3409691773440 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 3409691773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245086003200).

3409691773440 is an abundant number, since it is smaller than the sum of its proper divisors (9080480232960).

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

3409691773440 is a wasteful number, since it uses less digits than its factorization.

3409691773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 3409691773440 in words is "three trillion, four hundred nine billion, six hundred ninety-one million, seven hundred seventy-three thousand, four hundred forty".