3534289920 has 264 divisors, whose sum is σ = 13996960224. Its totient is φ = 807763968.

The previous prime is 3534289877. The next prime is 3534289933. The reversal of 3534289920 is 299824353.

It is a happy number.

3534289920 is a `hidden beast` number, since 3 + 534 + 2 + 8 + 99 + 20 = 666.

It is a super-2 number, since 2×3534289920² = 24982410477227212800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317082 + ... + 328038.

Almost surely, 2^3534289920 is an apocalyptic number.

3534289920 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 3534289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998480112).

3534289920 is an abundant number, since it is smaller than the sum of its proper divisors (10462670304).

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

3534289920 is a wasteful number, since it uses less digits than its factorization.

3534289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995 (or 10974 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3534289920 is about 59449.8941967099. The cubic root of 3534289920 is about 1523.2366855557.

The spelling of 3534289920 in words is "three billion, five hundred thirty-four million, two hundred eighty-nine thousand, nine hundred twenty".