3736526976 has 384 divisors, whose sum is σ = 13698518400. Its totient is φ = 976416768.

The previous prime is 3736526957. The next prime is 3736526987. The reversal of 3736526976 is 6796256373.

3736526976 is a `hidden beast` number, since 373 + 6 + 5 + 269 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) 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 (54).

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, 34280010 + ... + 34280118.

It is an arithmetic number, because the mean of its divisors is an integer number (35673225).

Almost surely, 2^3736526976 is an apocalyptic number.

3736526976 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 3736526976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849259200).

3736526976 is an abundant number, since it is smaller than the sum of its proper divisors (9961991424).

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

3736526976 is a wasteful number, since it uses less digits than its factorization.

3736526976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 134 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The square root of 3736526976 is about 61127.1378031067. The cubic root of 3736526976 is about 1551.7534061042.

It can be divided in two parts, 373652 and 6976, that added together give a triangular number (380628 = T₈₇₂).

The spelling of 3736526976 in words is "three billion, seven hundred thirty-six million, five hundred twenty-six thousand, nine hundred seventy-six".