3431484 has 120 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 912384.

The previous prime is 3431479. The next prime is 3431489. The reversal of 3431484 is 4841343.

3431484 = T₂₃₂ + T₂₃₃ + ... + T₃₂₀.

3431484 = 44³ + 45³ + ... + 64³.

3431484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3431479) and next prime (3431489).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38512 + ... + 38600.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

Almost surely, 2^3431484 is an apocalyptic number.

3431484 is a gapful number since it is divisible by the number (34) 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 3431484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

3431484 is an abundant number, since it is smaller than the sum of its proper divisors (7545636).

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

3431484 is a wasteful number, since it uses less digits than its factorization.

3431484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3431484 is about 1852.4265167612. The cubic root of 3431484 is about 150.8321746975.

The spelling of 3431484 in words is "three million, four hundred thirty-one thousand, four hundred eighty-four".