3411777684440 has 192 divisors, whose sum is σ = 8166270247200. Its totient is φ = 1281297647616.

The previous prime is 3411777684437. The next prime is 3411777684449. The reversal of 3411777684440 is 444867771143.

It is a super-2 number, since 2×3411777684440² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411777684449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499744307 + ... + 499751133.

Almost surely, 2^{3411777684440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411777684440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083135123600).

3411777684440 is an abundant number, since it is smaller than the sum of its proper divisors (4754492562760).

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

3411777684440 is a wasteful number, since it uses less digits than its factorization.

3411777684440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 56.

The spelling of 3411777684440 in words is "three trillion, four hundred eleven billion, seven hundred seventy-seven million, six hundred eighty-four thousand, four hundred forty".