3534982080 has 448 divisors, whose sum is σ = 13483376640. Its totient is φ = 767692800.

The previous prime is 3534982063. The next prime is 3534982081. The reversal of 3534982080 is 802894353.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3534982080² = 24992196611842252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3534982081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14790601 + ... + 14790839.

Almost surely, 2^3534982080 is an apocalyptic number.

3534982080 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 3534982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741688320).

3534982080 is an abundant number, since it is smaller than the sum of its proper divisors (9948394560).

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

3534982080 is a wasteful number, since it uses less digits than its factorization.

3534982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3534982080 is about 59455.7152845713. The cubic root of 3534982080 is about 1523.3361166257.

The spelling of 3534982080 in words is "three billion, five hundred thirty-four million, nine hundred eighty-two thousand, eighty".