3787951356 has 144 divisors (see below), whose sum is σ = 11856708864. Its totient is φ = 994871808.

The previous prime is 3787951249. The next prime is 3787951423. The reversal of 3787951356 is 6531597873.

3787951356 is a `hidden beast` number, since 3 + 7 + 8 + 79 + 513 + 56 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173931 + ... + 194493.

It is an arithmetic number, because the mean of its divisors is an integer number (82338256).

Almost surely, 2^3787951356 is an apocalyptic number.

3787951356 is a gapful number since it is divisible by the number (36) 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 3787951356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928354432).

3787951356 is an abundant number, since it is smaller than the sum of its proper divisors (8068757508).

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

3787951356 is a wasteful number, since it uses less digits than its factorization.

3787951356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20640 (or 20635 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 3787951356 is about 61546.3350330464. The cubic root of 3787951356 is about 1558.8397240244.

The spelling of 3787951356 in words is "three billion, seven hundred eighty-seven million, nine hundred fifty-one thousand, three hundred fifty-six".