3734067407400 has 288 divisors, whose sum is σ = 13716388389600. Its totient is φ = 902838182400.

The previous prime is 3734067407381. The next prime is 3734067407401. The reversal of 3734067407400 is 47047604373.

3734067407400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3734067407401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7255402 + ... + 7752998.

It is an arithmetic number, because the mean of its divisors is an integer number (47626348575).

Almost surely, 2^{3734067407400} is an apocalyptic number.

3734067407400 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 3734067407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858194194800).

3734067407400 is an abundant number, since it is smaller than the sum of its proper divisors (9982320982200).

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

3734067407400 is a wasteful number, since it uses less digits than its factorization.

3734067407400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498009 (or 497997 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 3734067407400 in words is "three trillion, seven hundred thirty-four billion, sixty-seven million, four hundred seven thousand, four hundred".