3407871820 has 48 divisors (see below), whose sum is σ = 7486895808. Its totient is φ = 1300527360.

The previous prime is 3407871769. The next prime is 3407871821. The reversal of 3407871820 is 281787043.

It is a super-2 number, since 2×3407871820² = 23227180683100224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407871821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173290 + ... + 191950.

It is an arithmetic number, because the mean of its divisors is an integer number (155976996).

Almost surely, 2^3407871820 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 3407871820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743447904).

3407871820 is an abundant number, since it is smaller than the sum of its proper divisors (4079023988).

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

3407871820 is a wasteful number, since it uses less digits than its factorization.

3407871820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19090 (or 19088 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 3407871820 is about 58376.9802233723. The cubic root of 3407871820 is about 1504.8541736464.

The spelling of 3407871820 in words is "three billion, four hundred seven million, eight hundred seventy-one thousand, eight hundred twenty".