3546526464 has 288 divisors, whose sum is σ = 11692497600. Its totient is φ = 1052835840.

The previous prime is 3546526457. The next prime is 3546526471. The reversal of 3546526464 is 4646256453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3546526457) and next prime (3546526471).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605144 + ... + 2606504.

It is an arithmetic number, because the mean of its divisors is an integer number (40598950).

Almost surely, 2^3546526464 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 3546526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846248800).

3546526464 is an abundant number, since it is smaller than the sum of its proper divisors (8145971136).

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

3546526464 is a wasteful number, since it uses less digits than its factorization.

3546526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1408 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 3546526464 is about 59552.7200386347. The cubic root of 3546526464 is about 1524.9925953595.

The spelling of 3546526464 in words is "three billion, five hundred forty-six million, five hundred twenty-six thousand, four hundred sixty-four".