9740541952 has 112 divisors (see below), whose sum is σ = 21529621152. Its totient is φ = 4383047680.

The previous prime is 9740541911. The next prime is 9740541977. The reversal of 9740541952 is 2591450479.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3201552 + ... + 3204592.

Almost surely, 2^9740541952 is an apocalyptic number.

9740541952 is a gapful number since it is divisible by the number (92) 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 9740541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764810576).

9740541952 is an abundant number, since it is smaller than the sum of its proper divisors (11789079200).

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

9740541952 is a wasteful number, since it uses less digits than its factorization.

9740541952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The square root of 9740541952 is about 98694.1839826441. The cubic root of 9740541952 is about 2135.6383308502.

The spelling of 9740541952 in words is "nine billion, seven hundred forty million, five hundred forty-one thousand, nine hundred fifty-two".