3729150480 has 160 divisors (see below), whose sum is σ = 12636298368. Its totient is φ = 902246400.

The previous prime is 3729150461. The next prime is 3729150499. The reversal of 3729150480 is 840519273.

It is an interprime number because it is at equal distance from previous prime (3729150461) and next prime (3729150499).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743972 + ... + 1746108.

Almost surely, 2^3729150480 is an apocalyptic number.

3729150480 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 3729150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318149184).

3729150480 is an abundant number, since it is smaller than the sum of its proper divisors (8907147888).

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

3729150480 is a wasteful number, since it uses less digits than its factorization.

3729150480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3729150480 is about 61066.7706694893. The cubic root of 3729150480 is about 1550.7315977474.

The spelling of 3729150480 in words is "three billion, seven hundred twenty-nine million, one hundred fifty thousand, four hundred eighty".