3540004608 has 216 divisors, whose sum is σ = 11538952320. Its totient is φ = 958003200.

The previous prime is 3540004597. The next prime is 3540004667. The reversal of 3540004608 is 8064000453.

It is a super-2 number, since 2×3540004608² = 25063265249322467328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712533 + ... + 717483.

Almost surely, 2^3540004608 is an apocalyptic number.

3540004608 is a gapful number since it is divisible by the number (38) 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 3540004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769476160).

3540004608 is an abundant number, since it is smaller than the sum of its proper divisors (7998947712).

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

3540004608 is a wasteful number, since it uses less digits than its factorization.

3540004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3540004608 is about 59497.9378466178. The cubic root of 3540004608 is about 1524.0572308541.

The spelling of 3540004608 in words is "three billion, five hundred forty million, four thousand, six hundred eight".