3742798752 has 864 divisors, whose sum is σ = 15058068480. Its totient is φ = 901393920.

The previous prime is 3742798747. The next prime is 3742798837. The reversal of 3742798752 is 2578972473.

3742798752 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79633993 + ... + 79634039.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^3742798752 is an apocalyptic number.

3742798752 is a gapful number since it is divisible by the number (32) 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 3742798752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3742798752 is an abundant number, since it is smaller than the sum of its proper divisors (11315269728).

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

3742798752 is a wasteful number, since it uses less digits than its factorization.

3742798752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 3742798752 is about 61178.4173708343. The cubic root of 3742798752 is about 1552.6211289653.

The spelling of 3742798752 in words is "three billion, seven hundred forty-two million, seven hundred ninety-eight thousand, seven hundred fifty-two".