3534279680 has 176 divisors, whose sum is σ = 9126017280. Its totient is φ = 1309114368.

The previous prime is 3534279673. The next prime is 3534279733. The reversal of 3534279680 is 869724353.

It is a happy number.

It is a super-2 number, since 2×3534279680² = 24982265712921804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4571774 + ... + 4572546.

Almost surely, 2^3534279680 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 3534279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563008640).

3534279680 is an abundant number, since it is smaller than the sum of its proper divisors (5591737600).

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

3534279680 is a wasteful number, since it uses less digits than its factorization.

3534279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The square root of 3534279680 is about 59449.8080737020. The cubic root of 3534279680 is about 1523.2352144485.

The spelling of 3534279680 in words is "three billion, five hundred thirty-four million, two hundred seventy-nine thousand, six hundred eighty".