3417788220 has 144 divisors (see below), whose sum is σ = 12144359808. Its totient is φ = 710183040.

The previous prime is 3417788219. The next prime is 3417788281. The reversal of 3417788220 is 228877143.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20502 + ... + 85181.

It is an arithmetic number, because the mean of its divisors is an integer number (84335832).

Almost surely, 2^3417788220 is an apocalyptic number.

3417788220 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 3417788220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072179904).

3417788220 is an abundant number, since it is smaller than the sum of its proper divisors (8726571588).

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

3417788220 is a wasteful number, since it uses less digits than its factorization.

3417788220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105720 (or 105711 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 3417788220 is about 58461.8526904511. The cubic root of 3417788220 is about 1506.3123940798.

The spelling of 3417788220 in words is "three billion, four hundred seventeen million, seven hundred eighty-eight thousand, two hundred twenty".