3782727840 has 96 divisors (see below), whose sum is σ = 12049611840. Its totient is φ = 997382144.

The previous prime is 3782727833. The next prime is 3782727853. The reversal of 3782727840 is 487272873.

3782727840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3782727840² = 28618059823022131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3782727840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554 + ... + 86993.

It is an arithmetic number, because the mean of its divisors is an integer number (125516790).

Almost surely, 2^3782727840 is an apocalyptic number.

3782727840 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 3782727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024805920).

3782727840 is an abundant number, since it is smaller than the sum of its proper divisors (8266884000).

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

3782727840 is a wasteful number, since it uses less digits than its factorization.

3782727840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88654 (or 88646 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The square root of 3782727840 is about 61503.8847553551. The cubic root of 3782727840 is about 1558.1228572022.

The spelling of 3782727840 in words is "three billion, seven hundred eighty-two million, seven hundred twenty-seven thousand, eight hundred forty".