3457914948 has 60 divisors (see below), whose sum is σ = 9053023980. Its totient is φ = 1150936128.

The previous prime is 3457914947. The next prime is 3457914959. The reversal of 3457914948 is 8494197543.

3457914948 is a `hidden beast` number, since 3 + 457 + 9 + 149 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2007219204 + 1450695744 = 44802^2 + 38088^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3457914894 and 3457914903.

It is not an unprimeable number, because it can be changed into a prime (3457914947) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222190 + ... + 237242.

It is an arithmetic number, because the mean of its divisors is an integer number (150883733).

Almost surely, 2^3457914948 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 3457914948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526511990).

3457914948 is an abundant number, since it is smaller than the sum of its proper divisors (5595109032).

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

3457914948 is a wasteful number, since it uses less digits than its factorization.

3457914948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15778 (or 15767 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3457914948 is about 58804.0385347809. The cubic root of 3457914948 is about 1512.1844540653.

The spelling of 3457914948 in words is "three billion, four hundred fifty-seven million, nine hundred fourteen thousand, nine hundred forty-eight".