3744029340 has 288 divisors, whose sum is σ = 12850306560. Its totient is φ = 877363200.

The previous prime is 3744029291. The next prime is 3744029347. The reversal of 3744029340 is 439204473.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3744029295 and 3744029304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744029347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2750260 + ... + 2751620.

It is an arithmetic number, because the mean of its divisors is an integer number (44619120).

Almost surely, 2^3744029340 is an apocalyptic number.

3744029340 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 3744029340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425153280).

3744029340 is an abundant number, since it is smaller than the sum of its proper divisors (9106277220).

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

3744029340 is a wasteful number, since it uses less digits than its factorization.

3744029340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3744029340 is about 61188.4739146189. The cubic root of 3744029340 is about 1552.7912714796.

The spelling of 3744029340 in words is "three billion, seven hundred forty-four million, twenty-nine thousand, three hundred forty".