3401427780 has 72 divisors (see below), whose sum is σ = 10393051032. Its totient is φ = 900420096.

The previous prime is 3401427767. The next prime is 3401427781. The reversal of 3401427780 is 877241043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 878173956 + 2523253824 = 29634^2 + 50232^2 .

It is a super-3 number, since 3×3401427780³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3401427781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44307 + ... + 93626.

It is an arithmetic number, because the mean of its divisors is an integer number (144347931).

Almost surely, 2^3401427780 is an apocalyptic number.

3401427780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3401427780 is an abundant number, since it is smaller than the sum of its proper divisors (6991623252).

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

3401427780 is a wasteful number, since it uses less digits than its factorization.

3401427780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138085 (or 138080 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3401427780 is about 58321.7607758888. The cubic root of 3401427780 is about 1503.9050515594.

The spelling of 3401427780 in words is "three billion, four hundred one million, four hundred twenty-seven thousand, seven hundred eighty".