3438097920 has 160 divisors (see below), whose sum is σ = 12212655840. Its totient is φ = 916807680.

The previous prime is 3438097919. The next prime is 3438097951. The reversal of 3438097920 is 297908343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44250 + ... + 93990.

It is an arithmetic number, because the mean of its divisors is an integer number (76329099).

Almost surely, 2^3438097920 is an apocalyptic number.

3438097920 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 3438097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106327920).

3438097920 is an abundant number, since it is smaller than the sum of its proper divisors (8774557920).

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

3438097920 is an equidigital number, since it uses as much as digits as its factorization.

3438097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49773 (or 49751 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3438097920 is about 58635.2958549712. The cubic root of 3438097920 is about 1509.2901828810.

The spelling of 3438097920 in words is "three billion, four hundred thirty-eight million, ninety-seven thousand, nine hundred twenty".