3542213376 has 288 divisors, whose sum is σ = 11446400000. Its totient is φ = 1073958912.

The previous prime is 3542213321. The next prime is 3542213387. The reversal of 3542213376 is 6733122453.

3542213376 is a `hidden beast` number, since 35 + 42 + 213 + 376 = 666.

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

It is a super-3 number, since 3×3542213376³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3542213376.

It is a congruent number.

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, 7098375 + ... + 7098873.

Almost surely, 2^3542213376 is an apocalyptic number.

3542213376 is a gapful number since it is divisible by the number (36) 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 3542213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723200000).

3542213376 is an abundant number, since it is smaller than the sum of its proper divisors (7904186624).

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

3542213376 is a wasteful number, since it uses less digits than its factorization.

3542213376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 596 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 3542213376 is about 59516.4966710911. The cubic root of 3542213376 is about 1524.3741408896.

The spelling of 3542213376 in words is "three billion, five hundred forty-two million, two hundred thirteen thousand, three hundred seventy-six".