3729843452160 has 1152 divisors, whose sum is σ = 15463832616960. Its totient is φ = 833734508544.

The previous prime is 3729843452131. The next prime is 3729843452189. The reversal of 3729843452160 is 612543489273.

3729843452160 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 84 + 34 + 521 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3729843452131) and next prime (3729843452189).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 3729843452097 and 3729843452106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2242839489 + ... + 2242841151.

It is a 1-persistent number, because it is pandigital, but 2⋅3729843452160 = 7459686904320 is not.

Almost surely, 2^{3729843452160} is an apocalyptic number.

3729843452160 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 3729843452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7731916308480).

3729843452160 is an abundant number, since it is smaller than the sum of its proper divisors (11733989164800).

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

3729843452160 is a wasteful number, since it uses less digits than its factorization.

3729843452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3729843452160 in words is "three trillion, seven hundred twenty-nine billion, eight hundred forty-three million, four hundred fifty-two thousand, one hundred sixty".