3434757480 has 512 divisors, whose sum is σ = 14448844800. Its totient is φ = 705024000.

The previous prime is 3434757461. The next prime is 3434757481. The reversal of 3434757480 is 847574343.

3434757480 is a `hidden beast` number, since 3 + 434 + 75 + 74 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3434757481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8565280 + ... + 8565680.

It is an arithmetic number, because the mean of its divisors is an integer number (28220400).

Almost surely, 2^3434757480 is an apocalyptic number.

3434757480 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 3434757480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224422400).

3434757480 is an abundant number, since it is smaller than the sum of its proper divisors (11014087320).

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

3434757480 is a wasteful number, since it uses less digits than its factorization.

3434757480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 3434757480 is about 58606.8040418517. The cubic root of 3434757480 is about 1508.8012180399.

The spelling of 3434757480 in words is "three billion, four hundred thirty-four million, seven hundred fifty-seven thousand, four hundred eighty".