3557438352 has 280 divisors, whose sum is σ = 11526996600. Its totient is φ = 1055545344.

The previous prime is 3557438333. The next prime is 3557438383. The reversal of 3557438352 is 2538347553.

3557438352 is a `hidden beast` number, since 3 + 557 + 43 + 8 + 3 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 606341376 + 2951096976 = 24624^2 + 54324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3557438298 and 3557438307.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4396924 + ... + 4397732.

It is an arithmetic number, because the mean of its divisors is an integer number (41167845).

Almost surely, 2^3557438352 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 3557438352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763498300).

3557438352 is an abundant number, since it is smaller than the sum of its proper divisors (7969558248).

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

3557438352 is a wasteful number, since it uses less digits than its factorization.

3557438352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 856 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 3557438352 is about 59644.2650386439. The cubic root of 3557438352 is about 1526.5550171862. Note that the first 3 decimals are identical.

The spelling of 3557438352 in words is "three billion, five hundred fifty-seven million, four hundred thirty-eight thousand, three hundred fifty-two".