3734656949100 has 576 divisors, whose sum is σ = 14031133949952. Its totient is φ = 744412032000.

The previous prime is 3734656949087. The next prime is 3734656949129. The reversal of 3734656949100 is 19496564373.

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 191 ways as a sum of consecutive naturals, for example, 60652929 + ... + 60714471.

It is an arithmetic number, because the mean of its divisors is an integer number (24359607552).

Almost surely, 2^{3734656949100} is an apocalyptic number.

3734656949100 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 3734656949100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015566974976).

3734656949100 is an abundant number, since it is smaller than the sum of its proper divisors (10296477000852).

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

3734656949100 is a wasteful number, since it uses less digits than its factorization.

3734656949100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61686 (or 61679 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 3734656949100 in words is "three trillion, seven hundred thirty-four billion, six hundred fifty-six million, nine hundred forty-nine thousand, one hundred".