3546219600 has 540 divisors, whose sum is σ = 15472530528. Its totient is φ = 736243200.

The previous prime is 3546219587. The next prime is 3546219613. The reversal of 3546219600 is 69126453.

It is a happy number.

3546219600 is a `hidden beast` number, since 3 + 5 + 46 + 2 + 1 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3546219587) and next prime (3546219613).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3048619 + ... + 3049781.

Almost surely, 2^3546219600 is an apocalyptic number.

3546219600 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 3546219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736265264).

3546219600 is an abundant number, since it is smaller than the sum of its proper divisors (11926310928).

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

3546219600 is a wasteful number, since it uses less digits than its factorization.

3546219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3546219600 is about 59550.1435766531. The cubic root of 3546219600 is about 1524.9486106485.

The spelling of 3546219600 in words is "three billion, five hundred forty-six million, two hundred nineteen thousand, six hundred".