3451945536 has 252 divisors, whose sum is σ = 11254622652. Its totient is φ = 1005447168.

The previous prime is 3451945507. The next prime is 3451945559. The reversal of 3451945536 is 6355491543.

3451945536 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 94 + 553 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1330790400 + 2121155136 = 36480^2 + 46056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3451945491 and 3451945500.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2702530 + ... + 2703806.

It is an arithmetic number, because the mean of its divisors is an integer number (44661201).

Almost surely, 2^3451945536 is an apocalyptic number.

3451945536 is a gapful number since it is divisible by the number (36) 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 3451945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627311326).

3451945536 is an abundant number, since it is smaller than the sum of its proper divisors (7802677116).

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

3451945536 is a wasteful number, since it uses less digits than its factorization.

3451945536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1314 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 3451945536 is about 58753.2597904150. The cubic root of 3451945536 is about 1511.3137895644.

The spelling of 3451945536 in words is "three billion, four hundred fifty-one million, nine hundred forty-five thousand, five hundred thirty-six".