3729540 has 48 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 977280.

The previous prime is 3729533. The next prime is 3729541. The reversal of 3729540 is 459273.

It is a super-2 number, since 2×3729540² = 27818937223200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3729498 and 3729507.

It is not an unprimeable number, because it can be changed into a prime (3729541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3151 + ... + 4169.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 2^3729540 is an apocalyptic number.

3729540 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 3729540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

3729540 is an abundant number, since it is smaller than the sum of its proper divisors (6894780).

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

3729540 is a wasteful number, since it uses less digits than its factorization.

3729540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3729540 is about 1931.2016984251. The cubic root of 3729540 is about 155.0785588591.

The spelling of 3729540 in words is "three million, seven hundred twenty-nine thousand, five hundred forty".