3458138880 has 288 divisors, whose sum is σ = 12734152704. Its totient is φ = 783433728.

The previous prime is 3458138869. The next prime is 3458138903. The reversal of 3458138880 is 888318543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413254 + ... + 3414266.

It is an arithmetic number, because the mean of its divisors is an integer number (44215808).

Almost surely, 2^3458138880 is an apocalyptic number.

3458138880 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 3458138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367076352).

3458138880 is an abundant number, since it is smaller than the sum of its proper divisors (9276013824).

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

3458138880 is a wasteful number, since it uses less digits than its factorization.

3458138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 3458138880 is about 58805.9425568539. The cubic root of 3458138880 is about 1512.2170960075.

The spelling of 3458138880 in words is "three billion, four hundred fifty-eight million, one hundred thirty-eight thousand, eight hundred eighty".