3542074800 has 480 divisors, whose sum is σ = 12972669696. Its totient is φ = 818688000.

The previous prime is 3542074721. The next prime is 3542074817. The reversal of 3542074800 is 84702453.

3542074800 = T₁₁₄ + T₁₁₅ + ... + T₂₇₆₉.

It is a super-3 number, since 3×3542074800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42675559 + ... + 42675641.

Almost surely, 2^3542074800 is an apocalyptic number.

3542074800 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 3542074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486334848).

3542074800 is an abundant number, since it is smaller than the sum of its proper divisors (9430594896).

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

3542074800 is a wasteful number, since it uses less digits than its factorization.

3542074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 3542074800 is about 59515.3324782782. The cubic root of 3542074800 is about 1524.3542621299.

The spelling of 3542074800 in words is "three billion, five hundred forty-two million, seventy-four thousand, eight hundred".