3454779552 has 96 divisors (see below), whose sum is σ = 10424598912. Its totient is φ = 981341184.

The previous prime is 3454779551. The next prime is 3454779563. The reversal of 3454779552 is 2559774543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3454779552³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3454779495 and 3454779504.

It is not an unprimeable number, because it can be changed into a prime (3454779551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101398 + ... + 131114.

It is an arithmetic number, because the mean of its divisors is an integer number (108589572).

Almost surely, 2^3454779552 is an apocalyptic number.

3454779552 is a gapful number since it is divisible by the number (32) 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 3454779552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212299456).

3454779552 is an abundant number, since it is smaller than the sum of its proper divisors (6969819360).

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

3454779552 is a wasteful number, since it uses less digits than its factorization.

3454779552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29910 (or 29902 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 51.

The square root of 3454779552 is about 58777.3727891950. The cubic root of 3454779552 is about 1511.7272680724.

The spelling of 3454779552 in words is "three billion, four hundred fifty-four million, seven hundred seventy-nine thousand, five hundred fifty-two".