3740400000672 has 96 divisors (see below), whose sum is σ = 10180581526080. Its totient is φ = 1201026355200.

The previous prime is 3740400000577. The next prime is 3740400000703. The reversal of 3740400000672 is 2760000040473.

3740400000672 is digitally balanced in base 2, because in such base 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 (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345954 + ... + 2756897.

It is an arithmetic number, because the mean of its divisors is an integer number (106047724230).

Almost surely, 2^{3740400000672} is an apocalyptic number.

3740400000672 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 3740400000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090290763040).

3740400000672 is an abundant number, since it is smaller than the sum of its proper divisors (6440181525408).

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

3740400000672 is a wasteful number, since it uses less digits than its factorization.

3740400000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103326 (or 3103318 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 3740400000672 in words is "three trillion, seven hundred forty billion, four hundred million, six hundred seventy-two", and thus it is an aban number.