3542702354100 has 1440 divisors, whose sum is σ = 14675876683776. Its totient is φ = 719118259200.

The previous prime is 3542702354053. The next prime is 3542702354117. The reversal of 3542702354100 is 14532072453.

3542702354100 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 7 + 0 + 235 + 410 + 0 = 666.

It is a super-3 number, since 3×3542702354100³ (a number of 39 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5186972359 + ... + 5186973041.

Almost surely, 2^{3542702354100} is an apocalyptic number.

3542702354100 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 3542702354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337938341888).

3542702354100 is an abundant number, since it is smaller than the sum of its proper divisors (11133174329676).

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

3542702354100 is a wasteful number, since it uses less digits than its factorization.

3542702354100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 3542702354100 in words is "three trillion, five hundred forty-two billion, seven hundred two million, three hundred fifty-four thousand, one hundred".