3542661253350 has 384 divisors, whose sum is σ = 9965255040000. Its totient is φ = 925311098880.

The previous prime is 3542661253333. The next prime is 3542661253357. The reversal of 3542661253350 is 533521662453.

3542661253350 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 6 + 61 + 2 + 533 + 50 = 666.

It is a super-3 number, since 3×3542661253350³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3542661253296 and 3542661253305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542661253357) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7890113926 + ... + 7890114374.

It is an arithmetic number, because the mean of its divisors is an integer number (25951185000).

Almost surely, 2^{3542661253350} is an apocalyptic number.

3542661253350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542661253350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982627520000).

3542661253350 is an abundant number, since it is smaller than the sum of its proper divisors (6422593786650).

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

3542661253350 is a wasteful number, since it uses less digits than its factorization.

3542661253350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 3542661253350 in words is "three trillion, five hundred forty-two billion, six hundred sixty-one million, two hundred fifty-three thousand, three hundred fifty".